4n^2+n-33=

Solution for 4n^2+n-33= equation:

Simplifying
4n2 + n + -33 = 0

Reorder the terms:
-33 + n + 4n2 = 0

Solving
-33 + n + 4n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-3 + -1n)(11 + -4n) = 0

Subproblem 1
Set the factor '(-3 + -1n)' equal to zero and attempt to solve:

Simplifying
-3 + -1n = 0

Solving
-3 + -1n = 0

Move all terms containing n to the left, all other terms to the right.

Add '3' to each side of the equation.
-3 + 3 + -1n = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1n = 0 + 3
-1n = 0 + 3

Combine like terms: 0 + 3 = 3
-1n = 3

Divide each side by '-1'.
n = -3

Simplifying
n = -3
Subproblem 2
Set the factor '(11 + -4n)' equal to zero and attempt to solve:

Simplifying
11 + -4n = 0

Solving
11 + -4n = 0

Move all terms containing n to the left, all other terms to the right.

Add '-11' to each side of the equation.
11 + -11 + -4n = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -4n = 0 + -11
-4n = 0 + -11

Combine like terms: 0 + -11 = -11
-4n = -11

Divide each side by '-4'.
n = 2.75

Simplifying
n = 2.75
Solution
n = {-3, 2.75}